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arXiv 1402.4885hep-thmath.AGmath.KT
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椭圆曲线定向折叠上的弦论与KR-理论

String theory on elliptic curve orientifolds and KR-theory

Charles Doran, Stefan Mendez-Diez, Jonathan Rosenberg

摘要:

我们分析了形式为E x R ^8的时空中所有东方折叠弦论的膜内容和荷,这里E是具有全纯或反全纯对合的椭圆曲线。这些理论中的许多涉及来自B场的“扭曲”和/或东方褶皱平面上的符号选择。从代数几何的角度来描述这些理论,使用勒让德标准形,自然将它们分为三组。每一组中的物理理论都通过T对偶序列相互关联。我们的方法与以前的扭曲KR理论和已知的物理参数的拓扑计算一致,并解释了如何从数学和物理的角度扭曲起源。

英文摘要:

We analyze the brane content and charges in all of the orientifold string theories on space-times of the form E x R^8, where E is an elliptic curve with holomorphic or anti-holomorphic involution. Many of these theories involve "twistings" coming from the B-field and/or sign choices on the orientifold planes. A description of these theories from the point of view of algebraic geometry, using the Legendre normal form, naturally divides them into three groupings. The physical theories within each grouping are related to one another via sequences of T-dualities. Our approach agrees with both previous topological calculations of twisted KR-theory and known physics arguments, and explains how the twistings originate from both a mathematical and a physical perspective.

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